456038 has 16 divisors (see below), whose sum is σ = 786240. Its totient is φ = 196200.

The previous prime is 456037. The next prime is 456047. The reversal of 456038 is 830654.

It is a junction number, because it is equal to n+sod(n) for n = 455998 and 456016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2⁴⁵⁶⁰³⁸ is an apocalyptic number.

456038 is a deficient number, since it is larger than the sum of its proper divisors (330202).

456038 is a wasteful number, since it uses less digits than its factorization.

456038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 456038 is about 675.3058566309. The cubic root of 456038 is about 76.9721606223.

The spelling of 456038 in words is "four hundred fifty-six thousand, thirty-eight".